Phase Diagram for Ideal Diblock-Copolymer Micelles Compared to Polymerization-Induced Self Assembly

In this work we constructed a detailed phase diagram for the solutions of ideal diblock-copolymers and compared such diagram with that obtained during polymerization-induced self-assembly (PISA); a wide range of polymer concentrations as well as chain compositions was studied. As the length of the s...

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Main Authors: Alexey A. Gavrilov, Ruslan M. Shupanov, Alexander V. Chertovich
Format: Article
Language:English
Published: MDPI AG 2020-11-01
Series:Polymers
Subjects:
Online Access:https://www.mdpi.com/2073-4360/12/11/2599
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spelling doaj-03e60cc9e6154ef88b7db9ae5b03dc412020-11-25T04:05:55ZengMDPI AGPolymers2073-43602020-11-01122599259910.3390/polym12112599Phase Diagram for Ideal Diblock-Copolymer Micelles Compared to Polymerization-Induced Self AssemblyAlexey A. Gavrilov0Ruslan M. Shupanov1Alexander V. Chertovich2Physics Department, Lomonosov Moscow State University, 119991 Moscow, RussiaPhysics Department, Lomonosov Moscow State University, 119991 Moscow, RussiaPhysics Department, Lomonosov Moscow State University, 119991 Moscow, RussiaIn this work we constructed a detailed phase diagram for the solutions of ideal diblock-copolymers and compared such diagram with that obtained during polymerization-induced self-assembly (PISA); a wide range of polymer concentrations as well as chain compositions was studied. As the length of the solvophobic block <i>n<sub>B</sub></i> increases (the length of the solvophilic block <i>n<sub>A</sub></i> was fixed), the transition from spherical micelles to cylinders and further to vesicles (lamellae) occurs. We observed a rather wide transition region between the spherical and cylindrical morphology in which the system contains a mixture of spheres and short cylinders, which appear to be in dynamic equilibrium; the transition between the cylinders and vesicles was found to be rather sharp. Next, upon increasing the polymer concentration in the system, the transition region between the spheres and cylinders shifts towards lower <i>n<sub>B</sub></i>/<i>n<sub>A</sub></i> values; a similar shift but with less magnitude was observed for the transition between the cylinders and vesicles. Such behavior was attributed to the increased number of contacts between the micelles at higher polymer volume concentrations. We also found that the width of the stability region of the cylindrical micelles for small polymer volume concentrations is in good quantitative agreement with the predictions of analytical theory. The obtained phase diagram for PISA was similar to the case of presynthesized diblock copolymer; however, the positions of the transition lines for PISA are slightly shifted towards higher <i>n<sub>B</sub></i>/<i>n<sub>A</sub></i> values in comparison to the presynthesized diblock copolymers, which is more pronounced for the case of the cylinders-to-vesicles transition. We believe that the reason for such behavior is the polydispersity of the core-forming blocks: The presence of the short and long blocks being located at the micelle interface and in its center, respectively, helps to reduce the entropy losses due to the insoluble block stretching, which leads to the increased stability of more curved micelles.https://www.mdpi.com/2073-4360/12/11/2599diblock copolymersblock-copolymer micellespolymerization-induced self-assemblycomputer simulationsdissipative particle dynamics
collection DOAJ
language English
format Article
sources DOAJ
author Alexey A. Gavrilov
Ruslan M. Shupanov
Alexander V. Chertovich
spellingShingle Alexey A. Gavrilov
Ruslan M. Shupanov
Alexander V. Chertovich
Phase Diagram for Ideal Diblock-Copolymer Micelles Compared to Polymerization-Induced Self Assembly
Polymers
diblock copolymers
block-copolymer micelles
polymerization-induced self-assembly
computer simulations
dissipative particle dynamics
author_facet Alexey A. Gavrilov
Ruslan M. Shupanov
Alexander V. Chertovich
author_sort Alexey A. Gavrilov
title Phase Diagram for Ideal Diblock-Copolymer Micelles Compared to Polymerization-Induced Self Assembly
title_short Phase Diagram for Ideal Diblock-Copolymer Micelles Compared to Polymerization-Induced Self Assembly
title_full Phase Diagram for Ideal Diblock-Copolymer Micelles Compared to Polymerization-Induced Self Assembly
title_fullStr Phase Diagram for Ideal Diblock-Copolymer Micelles Compared to Polymerization-Induced Self Assembly
title_full_unstemmed Phase Diagram for Ideal Diblock-Copolymer Micelles Compared to Polymerization-Induced Self Assembly
title_sort phase diagram for ideal diblock-copolymer micelles compared to polymerization-induced self assembly
publisher MDPI AG
series Polymers
issn 2073-4360
publishDate 2020-11-01
description In this work we constructed a detailed phase diagram for the solutions of ideal diblock-copolymers and compared such diagram with that obtained during polymerization-induced self-assembly (PISA); a wide range of polymer concentrations as well as chain compositions was studied. As the length of the solvophobic block <i>n<sub>B</sub></i> increases (the length of the solvophilic block <i>n<sub>A</sub></i> was fixed), the transition from spherical micelles to cylinders and further to vesicles (lamellae) occurs. We observed a rather wide transition region between the spherical and cylindrical morphology in which the system contains a mixture of spheres and short cylinders, which appear to be in dynamic equilibrium; the transition between the cylinders and vesicles was found to be rather sharp. Next, upon increasing the polymer concentration in the system, the transition region between the spheres and cylinders shifts towards lower <i>n<sub>B</sub></i>/<i>n<sub>A</sub></i> values; a similar shift but with less magnitude was observed for the transition between the cylinders and vesicles. Such behavior was attributed to the increased number of contacts between the micelles at higher polymer volume concentrations. We also found that the width of the stability region of the cylindrical micelles for small polymer volume concentrations is in good quantitative agreement with the predictions of analytical theory. The obtained phase diagram for PISA was similar to the case of presynthesized diblock copolymer; however, the positions of the transition lines for PISA are slightly shifted towards higher <i>n<sub>B</sub></i>/<i>n<sub>A</sub></i> values in comparison to the presynthesized diblock copolymers, which is more pronounced for the case of the cylinders-to-vesicles transition. We believe that the reason for such behavior is the polydispersity of the core-forming blocks: The presence of the short and long blocks being located at the micelle interface and in its center, respectively, helps to reduce the entropy losses due to the insoluble block stretching, which leads to the increased stability of more curved micelles.
topic diblock copolymers
block-copolymer micelles
polymerization-induced self-assembly
computer simulations
dissipative particle dynamics
url https://www.mdpi.com/2073-4360/12/11/2599
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